Title :
On norm-controllability of nonlinear systems
Author :
Müller, Matthias A. ; Liberzon, Daniel ; Allgöwer, Frank
Author_Institution :
Inst. for Syst. Theor. & Autom. Control, Univ. of Stuttgart, Stuttgart, Germany
Abstract :
In this paper, we introduce and study the notion of “norm-controllability” for nonlinear systems. This property captures the responsiveness of a system with respect to the applied inputs, which is quantified via the norm of an output map. As a main contribution, we obtain a Lyapunov-like sufficient condition for norm-controllability. Several examples illustrate the various aspects of the proposed concept, and we also further elaborate norm-controllability for the special case of linear systems.
Keywords :
Lyapunov methods; nonlinear control systems; Lyapunov-like sufficient condition; nonlinear systems; norm-controllability; output map; Controllability; Linear systems; Nonlinear systems; Observability; Time measurement; Trajectory;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160557
